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Finding the Fourth Proportional to 320.87, 443 and 204.50

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Solution

The fourth proportional to 320.87, 443 and 204.50 is: 282.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.87 : 443 = 204.50 : x
  2. Step 2: Convert to fraction form
    320.87/443 = 204.50/x
  3. Step 3: Cross multiply
    320.87x = 443 × 204.50
  4. Step 4: Simplify right side
    320.87x = 90,593.50
  5. Step 5: Solve for x
    x = 90,593.50/320.87
  6. Step 6: Final answer
    x = 282.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.